Termination of Multifractal behavior for Critical Disordered Dirac Fermions

1997/11/12 by J. -S. Caux, Jean-Sébastien Caux, Nobuhiko Taniguchi +2 · 5 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevlett.80.1276

published as Phys. Rev. Lett. 80, 1276 (1998). · 4 pages, no figures

arxiv created 1997/11/12 · openalex publication_date 1998/02/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider Dirac fermions interacting with a disordered non-Abelian vector potential. The exact solution is obtained through a special type of conformal field theory including logarithmic correlators, without resorting to the replica or supersymmetry approaches. It is shown that the proper treatment of the conformal theory leads to a different multifractal scaling behavior than initially expected. Moreover, the previous replica solution is found to be incorrect at the level of higher correlation functions.

Citations

• Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models
• Current algebra and Wess-Zumino model in two dimensions
• Infinite conformal symmetry in two-dimensional quantum field theory

Cited by

• Quasiparticle Transport and Localization in High-TcSuperconductors
• Density of states in disordered graphene
• A classification of 2D random Dirac fermions
• Effects of weak disorders on quantum Hall critical points
• Boundary multifractality in critical one-dimensional systems with long-range hopping